Question

Please help ASAP!!!! Which rules can be used to rewrite the expression {3/x^3}^-2 ?

Answer 1

The expression is given as ;

`((3)/(x^3))^(-2)`

From the expression , you notice that the rules to use in re-writing the expression are:

i) a negative power

ii) A power to a power

So this can be written as

`\lbrack((3))/((x^(-3)))\rbrack^(-2)`

Appy power to power rule by product of the exponents to get;

`\frac{(3)^(-2)}{(x^(-3))^(-2)^{}}`

`(3^(-2))/(x^6)`

Answer

D. Negative power and power to a power